Absolutely.It is pretty grovelling behaviour, now you mention it. A bit of a slave mentality.
And it's accompanied by slave ethics. You might have noticed that ethics of the New Testament - the Sermon on the Mount mostly - promotes a slave mentality. They're teaching people to accept exploitation without objection, to be meek, long-suffering, count poverty a blessing, accept injustices in this world because you will compensated in the next, turn the other cheek and let massah hit that one too, etc.
A slave needs to  forsake his family, and  forget the world outside of the plantation, and  surrender himself to massah. These verses capture that:
If anyone comes to me and does not hate his own father and mother and wife and children and brothers and sisters, yes, and even his own life, he cannot be my disciple." - Luke 14:26
 "You adulterous people! Do you not know that friendship with the world is enmity with God? Therefore whoever wishes to be a friend of the world makes himself an enemy of God." - James 4:4
 "And he said to all,If anyone would come after me, let him deny himself and take up his cross daily and follow me. For whoever would save his life will lose it, but whoever loses his life for my sake will save it." - Luke 9:23-24
Worship is perfect practice for groveling through life.